A very expensive random number generator

Recently, Derek Jeter played in the \(1,000^\text{th}\) game in which he has had two or more hits. If hits are randomly distributed, how many multi-hit games would we expect him to have by this point in his career?

Assumptions and details

  • He has played in 2,681 career games.
  • He has 4 at bats in each game he plays.
  • His batting average is 0.311 (number of hits divided by number of at bats).
  • You may want to read Baseball rules if you are not familiar with it.

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